Schramm–Loewner evolution (SLE) is a mathematical framework used to describe certain conformally invariant processes in statistical physics and complex analysis. It was introduced by Oded Schramm in 2000 as a method for understanding the scaling limits of random planar processes, such as percolation, random walks, and the interfaces of various models in statistical mechanics.
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Chordal Schramm–Loewner evolution in the complex upper half-plane from to is the random Loewner chain driven by , where is standard Brownian motion and .